Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800bi |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-2267755315200 = -1 · 222 · 35 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2552,51952] |
[a1,a2,a3,a4,a6] |
Generators |
[596:14592:1] |
Generators of the group modulo torsion |
j |
17943021455/22146048 |
j-invariant |
L |
7.2946033054774 |
L(r)(E,1)/r! |
Ω |
0.54967264846064 |
Real period |
R |
3.3177034110751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13350g1 106800ci1 |
Quadratic twists by: -4 5 |